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Finding the Fourth Proportional to 137,715, 190,079.10 and 84,044.40

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Solution

The fourth proportional to 137,715, 190,079.10 and 84,044.40 is: 116,001.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,715 : 190,079.10 = 84,044.40 : x
  2. Step 2: Convert to fraction form
    137,715/190,079.10 = 84,044.40/x
  3. Step 3: Cross multiply
    137,715x = 190,079.10 × 84,044.40
  4. Step 4: Simplify right side
    137,715x = 15,975,083,912.04
  5. Step 5: Solve for x
    x = 15,975,083,912.04/137,715
  6. Step 6: Final answer
    x = 116,001.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.